Question
Nova Companys total overhead cost at various levels of activity are presented below: Month Machine- Hours Total Overhead Cost April 49,000 $ 205,220 May 39,000
Nova Companys total overhead cost at various levels of activity are presented below:
Month | Machine- Hours | Total Overhead Cost | ||
April | 49,000 | $ | 205,220 | |
May | 39,000 | $ | 179,420 | |
June | 59,000 | $ | 231,020 | |
July | 69,000 | $ | 256,820 | |
|
Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 39,000 machine-hour level of activity is:
Utilities (variable) | $ | 58,500 | ||
Supervisory salaries (fixed) | 64,000 | |||
Maintenance (mixed) | 56,920 | |||
Total overhead cost | $ | 179,420 | ||
|
Nova Companys management wants to break down the maintenance cost into its variable and fixed cost elements.
Required:
1. Estimate how much of the $256,820 of overhead cost in July was maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $256,820 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs!) (Do not round intermediate calculations.)
2. Using the high-low method, estimate a cost formula for maintenance. (Do not round your intermediate calculations. Round the "Variable cost per machine-hours" to 2 decimal places.)
Machine Hours | Maintenance Cost | |
High activity level | ||
Low activity level | ||
Change | $ | |
Variable cost element | per mH | |
Fixed cost element |
Y= a + bX
3. Express the companys total overhead cost in the linear equation form Y = a + bX. (Do not round your intermediate calculations. Round the "Variable cost per machine-hours" to 2 decimal places.)
Variable cost per | ||
Machine-Hour | Fixed Cost | |
Utilities cost | ||
Supervisory salaries cost | ||
Maintenance cost | ||
Total overhead cost | $ | $ |
y= a +bX
4. What total overhead cost would you expect to be incurred at an activity level of 44,000 machine-hours? (Do not round intermediate calculations.)
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